Question

Is the sine function even, odd, or neither?

Short answer

Sine is an odd function.

Step-by-step solution

Step 1. Given Information 

The sine function is a periodic function. The ratio of the perpendicular and the hypotenuse is called the sine function.

Step 2. Stating the answer

To find whether the sine function is odd, even, or neither. We will put $-\theta$with sine function.

If

$$\begin{gathered} f(-x)=x\left[even\right] \\ f(-x)=-x\left[odd\right] \end{gathered}$$

So,

$\sin \left(-\theta \right)=-\sin \theta$, the sine function is an odd function.